Math & Algebra

Free Fraction & Mixed Number Arithmetic Calculator

Working with fractions and mixed numbers is a fundamental math skill in algebra, geometry, carpentry, and recipe scaling. Performing fraction arithmetic by hand requires finding least common denominators and reducing terms. Our free fraction calculator delivers instant step-by-step solutions. Add, subtract, multiply, or divide proper and mixed fractions, convert improper fractions to mixed numbers, and use our add fractions step by step solver for complete educational clarity.

Fraction & Mixed Number Arithmetic Calculator

Perform fraction addition, subtraction, multiplication & division with step-by-step simplification

Enter Fractions & Operation:

Simplified Fraction Result

Fraction:

23/20

Mixed Number:

1 3/20

Decimal Value: 1.1500

Step-by-Step Math:

LCD Denominator = 4 × 5 = 20
Numerator 1 = 3 × 5 = 15
Numerator 2 = 2 × 4 = 8
Combined Numerator = 15 + 8 = 23
GCD Common Factor = 1 → Simplified: 23/20

Mathematical Formulas & Calculation Methods

Fraction Addition & Subtraction (LCD Formula)

Uses common denominator LCD to combine numerators.

(a/b) ± (c/d) = (ad ± bc) / bd

Worked Step-by-Step Examples

Example 1: Adding 3/4 + 2/5

"Calculate simplified sum and decimal equivalent."

Steps:

LCD Denominator = 4 × 5 = 20.
Numerator = (3 × 5) + (2 × 4) = 15 + 8 = 23.
Unsimplified Fraction = 23/20.
Mixed Number = 1 3/20 | Decimal = 1.15.

Result: 23/20 or 1 3/20 (Decimal: 1.15)

What is Fraction & Mixed Number Arithmetic Calculator?

A multiplying mixed numbers calculator simplifies complex fraction multiplication by converting mixed numbers into improper fractions prior to multiplying numerators and denominators.

A least common denominator fraction calculator finds the lowest common multiple between denominators to perform addition and subtraction.

How to Use Fraction & Mixed Number Arithmetic Calculator

1Enter Numerator and Denominator for Fraction 1 and Fraction 2.
2Select Arithmetic Operation (+, -, ×, ÷).
3Review simplified fraction, mixed number, and decimal values.

Key Features

Supports addition, subtraction, multiplication, and division.
Displays simplified fraction, mixed number, and decimal equivalents.
Complete step-by-step mathematical explanation.

Benefits of Using Fraction & Mixed Number Arithmetic Calculator

Helps students verify fraction math homework.

Assists woodworkers and cooks in scaling fractional measurements accurately.

Practical Use Cases

Math Students

Verify fraction homework steps and LCD reductions.

Frequently Asked Questions

What is an improper fraction?

An improper fraction is a fraction where the numerator is greater than or equal to the denominator (e.g. 7/4).

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